13126120 has 96 divisors (see below), whose sum is σ = 35479080. Its totient is φ = 4354560.

The previous prime is 13126097. The next prime is 13126121. The reversal of 13126120 is 2162131.

It can be written as a sum of positive squares in 4 ways, for example, as 9229444 + 3896676 = 3038^2 + 1974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13126094 and 13126103.

It is not an unprimeable number, because it can be changed into a prime (13126121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72430 + ... + 72610.

Almost surely, 2^13126120 is an apocalyptic number.

13126120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13126120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739540).

13126120 is an abundant number, since it is smaller than the sum of its proper divisors (22352960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13126120 is a wasteful number, since it uses less digits than its factorization.

13126120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13126120 is about 3622.9987579352. The cubic root of 13126120 is about 235.8914084342.

Adding to 13126120 its reverse (2162131), we get a palindrome (15288251).

The spelling of 13126120 in words is "thirteen million, one hundred twenty-six thousand, one hundred twenty".